(4/7)x=2401/256

Solution for (4/7)x=2401/256 equation:

(4/7)x=2401/256

We move all terms to the left:

(4/7)x-(2401/256)=0


Domain of the equation: 7)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+4/7)x-(+2401/256)=0

We multiply parentheses

4x^2-(+2401/256)=0

We get rid of parentheses

4x^2-2401/256=0

We multiply all the terms by the denominator


4x^2*256-2401=0

Wy multiply elements

1024x^2-2401=0

a = 1024; b = 0; c = -2401;
Δ = b2-4ac
Δ = 02-4·1024·(-2401)
Δ = 9834496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9834496}=3136$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3136}{2*1024}=\frac{-3136}{2048}
=-1+17/32
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3136}{2*1024}=\frac{3136}{2048}
=1+17/32
$